Improved microscopic-macroscopic approach incorporating the effects of continuum states - Nuclear TheoryReport as inadecuate




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Abstract: The Woods-Saxon-Strutinsky method the microscopic-macroscopic methodcombined with Kruppa-s prescription for positive energy levels, which isnecessary to treat neutron rich nuclei, is studied to clarify the reason forits success and to propose improvements for its shortcomings. The reason whythe plateau condition is met for the Nilsson model but not for the Woods-Saxonmodel is understood in a new interpretation of the Strutinsky smoothingprocedure as a low-pass filter. Essential features of Kruppa-s level density isextracted in terms of the Thomas-Fermi approximation modified to describespectra obtained from diagonalization in truncated oscillator bases. A methodis proposed which weakens the dependence on the smoothing width by applying theStrutinsky smoothing only to the deviations from a reference level density. TheBCS equations are modified for the Kruppa-s spectrum, which is necessary totreat the pairing correlation properly in the presence of continuum. Thepotential depth is adjusted for the consistency between the microscopic andmacroscopic Fermi energies. It is shown, with these improvements, that themicroscopic-macroscopic method is now capable to reliably calculate bindingenergies of nuclei far from stability.



Author: Naoki Tajima, Yoshifumi R. Shimizu, Satoshi Takahara

Source: https://arxiv.org/




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